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Finding the Fourth Proportional to 142,317.36, 196,397.64 and 92,016

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Solution

The fourth proportional to 142,317.36, 196,397.64 and 92,016 is: 126,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,317.36 : 196,397.64 = 92,016 : x
  2. Step 2: Convert to fraction form
    142,317.36/196,397.64 = 92,016/x
  3. Step 3: Cross multiply
    142,317.36x = 196,397.64 × 92,016
  4. Step 4: Simplify right side
    142,317.36x = 18,071,725,242.24
  5. Step 5: Solve for x
    x = 18,071,725,242.24/142,317.36
  6. Step 6: Final answer
    x = 126,981.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.